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Singular Value Decomposition (SVD)

2011
In the previous section, we utilized the orthogonal direct-sum decomposi- tions $$ E^n = V_1 \oplus W_{1\,\,} \,$$ and $$ E^m = V_2 \oplus W_2 $$ where\( V_1 = Sp(A),W_1 = {V_1}^ \bot,W_2 = Ker(A),\)and\( V_2 = {W_2}^{\bot,}\)to define the Moore-Penrose inverseA- of the n by m matrix A in \( y = Ax \) a linear transformation from \( E^m \,\)
Haruo Yanai, Kei Takeuchi, Yoshio Takane
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Applications of singular-value decomposition (SVD)

Mathematics and Computers in Simulation, 2004
This work, supported by the Russian Ministry of Education, proposes and illustrates the use of singular-value decomposition (SDV) in terms of \(2\times 2\) matrices, using the suggestive terms ``hanger'', ``aligner'', ``stretcher'' and claiming that the use of SVD in education is still in its infancy.
Akritas, Alkiviadis G.   +1 more
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Singular Value Decomposition (SVD) Image Coding

IEEE Transactions on Communications, 1976
The numerical techniques of transform image coding are well known in the image bandwidth compression literature. This concise paper presents a new transform method in which the singular values and singular vectors of an image are computed and transmitted instead of transform coefficients. The singular value decomposition (SVD) method is known to be the
H. Andrews, C. Patterson
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Singular Value Decomposition (SVD) based Image Tamper Detection Scheme

2020 International Conference on Inventive Computation Technologies (ICICT), 2020
Image authentication techniques are basically used to check whether the received document is accurate or actual as it was transmitted by the source node or not. Image authentication ensures the integrity of the digital images and identify the ownership of the copyright of the digital images. Singular Value Decomposition (SVD) is method based on spatial
Sandeep Kaur, Alka Jindal
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Analysis of scintigrams by singular value decomposition (SVD) technique

Annals of Nuclear Medicine, 1994
The singular value decomposition (SVD) method is presented as a potential tool for analyzing gamma camera images. Mathematically image analysis is a study of matrixes as the standard scintigram is a digitized matrix presentation of the recorded photon fluence from radioactivity of the object.
S E, Savolainen, B K, Liewendahl
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Audio signal deblurring using singular value decomposition (SVD)

2017 IEEE International Conference on Power, Control, Signals and Instrumentation Engineering (ICPCSI), 2017
Deblurring is the process of removing blurring artifacts from signals, such as blur caused by noise, defocus aberration or motion blur. Blind Convolution for signal separation is an area of research in the field of signal processing from last few decades.
Nilesh M. Patil, Milind U. Nemade
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Evaluation of Singular Value Decomposition (SVD) Enhanced Upscaling in Reservoir Simulation

Volume 11: Petroleum Technology, 2020
Abstract Reservoir upscaling is an important step in reservoir modeling for converting highly detailed geological models to simulation grids. It substitutes a heterogeneous model that consists of high-resolution fine grid cells with a lower resolution reduced-dimension homogeneous model using averaging schemes.
Mayank Tyagi, Xu Zhou
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